Gibbs free energy is the energy available in the universe for work. If ΔS is positive, that means the entropy is positive and therefore IS SPONTANEOUS. Entropy is the randomness/disorder of the universe, or as my teacher likes to say...spreadiness.
EDIT: I forgot. It also depends on the ΔH. If ΔH is negative and ΔS is positive, the reaction is spontaneous. If ΔS is positive and ΔH is positive, a process is spontaneous at high temperatures, where exothermicity plays a small role in the balance.